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P.o.t.W. #5

■ GDC is allowed ■ for SL and HL students A slice of bread is modelled by a two-dimensional shape consisting of a rectangle with the graph of \(y = 1 - {x^2},\; - 1 \le x \le 1 on top of the rectangle, as shown in the figure. The line segment AC (dashed) has endpoints \({\textrm{A}}\left( { - 1,\; - 1} \right) and \({\textrm{C}}\left( {c,\;1 - {c^2}} \right) . Show that if AC divides the shape into two regions of...

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